Spectral spacings

• 2026-08-28 [Conjecture] Every mrly fractal spectrum tested clusters rather than repels, excluding GOE and GUE, and the claim is "more clustered than Poisson", not "Poisson": two unfolding maps, both Laplacians and two independent pipelines to 4096 nodes, with random-graph and square-lattice controls separating first; a from-scratch rebuild on the Menger sponge level = 2 cell graph (400 nodes), Sierpinski level = 5 and level = 6, normalised Laplacian, a degree-12 polynomial unfolder and a 20 x 20 square-lattice control gives P(s<0.5) = 0.689 for the sponge against GOE's 1 - exp(-pi/16) = 0.17828, 0.830 for Sierpinski level = 6 and 0.594 for the square lattice; the band 0.44 to 0.57 under one unfolder does not reproduce under a third, and the sponge spectrum is 61.25% repeated eigenvalues at 1e-9, so P(s<0.5) >= 0.61 is forced by degeneracy and GOE exclusion is a corollary of degeneracy rather than an independent measurement. Witness: lab/rs/spectral-spacings.